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Meridional rank and
bridge number for a class of links
Michel Boileau, Yeonhee Jang and Richard Weidmann |
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Vol. 292 (2018), No. 1, 61–80
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Abstract |
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We prove that links with meridional rank 3 whose 2-fold branched covers are graph manifolds are 3-bridge links. This gives a partial answer to a question by S. Cappell and J. Shaneson on the relation between the bridge numbers and meridional ranks of links. To prove this result, we also show that the meridional rank of any satellite knot is at least . |
Keywords
knot, link, bridge number, meridian, meridional rank,
2-fold branched cover, graph manifold
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Mathematical Subject Classification 2010
Primary: 57M25
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Milestones
Received: 7 November 2015
Revised: 3 May 2017
Accepted: 22 May 2017
Published: 22 September 2017
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Authors |
| Michel Boileau | |
| Aix-Marseille Univ. CNRS, Centrale Marseille Marseille France |
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| Yeonhee Jang | |
| Department of Mathematics Nara Women’s University Kitauoyanishi-machi Nara Japan |
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| Richard Weidmann | |
| Mathematisches Seminar Christian-Albrechts-Universität zu Kiel Kiel Germany |
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